Answer:
Step-by-step explanation:
So we know that:
And we want to find (f-g)(x).
This is the same as:
Substitute:
Distribute the right:
Combine like terms:
And we're done!
21. The number who responded is 600 -150 = 450. Expressed as a fraction of the total, that is
450/600 = (150*3)/(150*4) = 3/4
22. Total fabric used is
6*(3 1/6) +8*(2 3/4) = 19 +22 = 41 . . . . yards
Fabric unused is . . .
50 yd -41 yd = 9 yd
23. The problem statement is ambiguous. We suppose it is intended to say that the stock increased by 1/4 of its original value. In that case, the present value is
$2000 +$2000*(1/4) = $2500
_____
An alternate interpretation of the statement is that the amount of increase was 1/4. In that case, the present value is
$2000 + 0.25 = $2000.25
Answer:
Step-by-step explanation:
<u>TRUE</u>
All isosceles triangles have at least 2 acute angles due to 2 sides are equal.
The exterior angle of an equilateral triangle is obtuse.
If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.
<u>FALSE</u>
All isosceles triangles are equilateral triangles.
If you know the length of one of the legs of an isosceles triangle, you can determine it’s the perimeter
Answer: 126
Step-by-step explanation:
As per given , we have
Prior Population proportion :
Significance level :
Critical value for 95% confidence interval (using the z-value table) =
Margin of error (maximum error):
Formula to find the sample size :
Therefore , the required minimum sample size = 126
Answer:
200.34 cm²
Step-by-step explanation: